The SCRA Exam questions will be designed to test the candidates’ understanding and command of the language.

II. General Knowledge : The SCRA Exam Question Papers will be designed to test a candidate’s general awareness of the environment around him / her and its SCRA 2015 exam application to society. The standard of answers to SCRA questions should be as expected of students of standard 12 or equivalent.

Man and his environment : Evolution of life, plants and animals, heredity and environment-Genetics, cells, chromosomes, genes. Knowledge of the human body-nutrition, balanced diet, substitute foods, public health and sanitation including control of epidemics and common diseases.

Environmental pollution and its control. Food adulteration, proper storage and preservation of food grains and finished products, population explosion, population control.

Production of food and raw materials. Breeding of animals and plants, artificial insemination, manures and fertilizers, crop protection measures, high yielding varieties and green revolution, main cereal and cash crops of India.

Solar system and the earth, Seasons, Climate, Weather, Soil-its formation, erosion. Forests and their uses. Natural calamities cyclones, floods, earthquakes, volcanic eruptions. Mountains and rivers and their role in irrigation in India.

Distribution of natural resources and industries in India. Exploration of under-ground minerals including Oil Conservation of natural resources with particular reference to the flora and fauna of India.

Transition from feudalism to capitalism. Opening of European contacts. Establishment of British rule in India. Rise of nationalism and national struggle for freedom culminating in Independence.

Constitution of India and its characteristic features – Democracy, Secularism, Socialism, equality of opportunity and Parliamentary form of Government.

Major political ideologies-Democracy, Socialism, Communism and Gandhian idea of non-violence. Indian political parties, pressure groups, public opinion and the Press, electoral system.

India’s foreign policy and non-alignment-Arms race, balance of power. World organisation – political, social, economic and cultural. Important events ( including sports and cultural activities ) in India and abroad during the past two years.

Broad features of Indian social system : The caste system, hierarchy – recent changes and trends. Minority social institution – marriage, family, religion and acculturation.

Division of labour, co-operation, conflict and competition, Social control – reward and punishment, art, law, customs, propaganda, public opinion, agencies of social control – family, religion, state educational institutions; factors of social change- economic, technological, demographic, cultural; the concept of revolution.

Length measurements using vernier, screw gauge, spherometer and optical lever. Measurement of time and mass. Straight line motion and relationships among displacement, velocity and acceleration. Newton’s Laws of Motion, Momentum, impulse, work, energy and power. Coefficient of friction. Equilibrium of bodies under action of forces. Moment of a force, couple. Newton’s Law of Gravitation. Escape velocity. Acceleration due to gravity. Mass and Weight; Centre of gravity, Uniform circular motion, centripetal force, simple Harmonic motion. Simple pendulum. Pressure in a fluid and its variation with depth. Pascal’s Law. Principle of Archimedes. Floating bodies, Atmospheric pressure and its measurement. Temperature and its measurement. Thermal expansion, Gas laws and absolute temperature. Specific heat, latent heats and their measurement. Specific heat of gases. Mechanical equivalent of heat. Internal energy and First law of thermodynamics, Isothermal and adiabatic changes.

3. Energy changes in a chemical reaction. Exothermic and Endothermic Reactions. Application of First Law of Thermodynamics, Hess’s Law of constant heat summation.

4. Chemical Equilibria and rates of reactions. Law of Mass action. Effect of Pressure, Temperature and concentration on the rates of reaction. ( Qualitative treatment based on Le Chatelier’s Principle ). Molecularity; First and Second order reaction. Concept of Energy of activation. Application to manufacture of Ammonia and Sulphur trioxide.

10. Metallurgical Processes : General Methods of extraction of metals with specific reference to copper, iron, aluminium, silver, gold, zinc and lead. Common alloys of these metals; Nickel and manganese steels.

Organic Chemistry

1. Tetrahedral nature of carbon, Hybridisation and sigma pie bonds and their relative strength. Single and multiple bonds. Shapes of molecules. Geometrical and optical isomerism.

2. General methods of preparation, properties and reaction of alkanes, alkenes and alkynes, Petroleum and its refining. Its uses as fuel. Aromatic hydrocarbons : Resonance and aromaticity. Benzene and Naphthalene and their analogues. Aromatic substitution reactions.

1. Algebra : Concept of a set, Union and Intersection of sets, Complement of a set, Null set, Universal set and Power set, Venn diagrams and simple applications. Cartesian product of two sets, relation and mapping — examples, Binary operation on a set — examples. Representation of real numbers on a line. Complex numbers : Modulus, Argument, Algebraic operations on complex numbers. Cube roots of unity. Binary system of numbers, Conversion of a decimal number to a binary number and vice-versa. Arithmetic, Geometric and Harmonic progressions. Summation of series involving A.P., G.P., and H.P.. Quadratic equations with real co-efficients. Quadratic expressions: extreme values. Permutation and Combination, Binomial theorem and its applications.

Matrices and Determinants : Types of matrices, equality, matrix addition and scalar multiplication – properties. Matrix multiplication — non-commutative and distributive property over addition. Transpose of a matrix, Determinant of a matrix. Minors and Cofactors. Properties of determinants. Singular and non-singular matrices. Adjoint and Inverse of a square-matrix, Solution of a system of linear equations in two and three variables-elimination method, Cramers rule and Matrix inversion method ( Matrices with m rows and n columns where m, n < to 3 are to be considered ). Idea of a Group, Order of a Group, Abelian Group. Identity and inverse elements - Illustration by simple examples.

3. Analytic Geometry ( two dimensions ) : Rectangular Cartesian. Coordinate system, distance between two points, equation of a straight line in various forms, angle between two lines, distance of a point from a line. Transformation of axes. Pair of straight lines, general equation of second degree in x and y — condition to represent a pair of straight lines, point of intersection, angle between two lines. Equation of a circle in standard and in general form, equations of tangent and normal at a point, orthogonality of two circles. Standard equations of parabola, ellipse and hyperbola — parametric equations, equations of tangent and normal at a point in both cartesian and parametric forms.

4. Differential Calculus : Concept of a real valued function — domain, range and graph. Composite functions, one to one, onto and inverse functions, algebra of real functions, examples of polynomial, rational, trigonometric, exponential and logarithmic functions. Notion of limit, Standard limits – examples. Continuity of functions – examples, algebraic operations on continuous functions. Derivative of a function at a point, geometrical and physical interpretation of a derivative – applications. Derivative of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function, chain rule. Second order derivatives. Rolle’s theorem ( statement only ), increasing and decreasing functions. Application of derivatives in problems of maxima, minima, greatest and least values of a function.

Differential equations : Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equation, solution of first order and first degree differential equation of various types – examples. Solution of second order homogeneous differential equation with constant co-efficients.

6. Vectors and its applications : Magnitude and direction of a vector, equal vectors, unit vector, zero vector, vectors in two and three dimensions, position vector. Multiplication of a vector by a scalar, sum and difference of two vectors, Parallelogram law and triangle law of addition. Multiplication of vectors — scalar product or dot product of two vectors, perpendicularity, commutative and distributive properties. Vector product or cross product of two vectors. Scalar and vector triple products. Equations of a line, plane and sphere in vector form – simple problems. Area of a triangle, parallelogram and problems of plane geometry and trigonometry using vector methods. Work done by a force and moment of a force.

Personality Test : Each candidate will be interviewed by a Board who will have before them a record of his career both academic and extramural. They will be asked questions on matters of general interest. Special attention will be paid to assessing their potential qualities of leadership, initiative and intellectual curiosity, tact and other social qualities, mental and physical energy, power of practical application and integrity of character.